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13987417961 = 1123311783427
BaseRepresentation
bin11010000011011011…
…10000111101101001
31100002210210110021002
431001231300331221
5212121234333321
610231542524345
71003423043126
oct150155607551
940083713232
1013987417961
115a28595160
1228644366b5
13141bb24c9a
1496995d74d
1556ce9a20b
hex341b70f69

13987417961 has 16 divisors (see below), whose sum is σ = 16436072448. Its totient is φ = 11770611600.

The previous prime is 13987417949. The next prime is 13987418057. The reversal of 13987417961 is 16971478931.

It is not a de Polignac number, because 13987417961 - 26 = 13987417897 is a prime.

It is a super-2 number, since 2×139874179612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13987417897 and 13987417906.

It is not an unprimeable number, because it can be changed into a prime (13987417931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883871 + ... + 899556.

It is an arithmetic number, because the mean of its divisors is an integer number (1027254528).

Almost surely, 213987417961 is an apocalyptic number.

13987417961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13987417961 is a deficient number, since it is larger than the sum of its proper divisors (2448654487).

13987417961 is a wasteful number, since it uses less digits than its factorization.

13987417961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783492.

The product of its digits is 2286144, while the sum is 56.

The spelling of 13987417961 in words is "thirteen billion, nine hundred eighty-seven million, four hundred seventeen thousand, nine hundred sixty-one".

Divisors: 1 11 23 31 253 341 713 7843 1783427 19617697 41018821 55286237 451207031 608148607 1271583451 13987417961